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Topological defects dynamics and Melnikov's theory |
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| Affiliation: | 1. Department of Psychology, University of South Florida, Tampa, FL, USA;2. Veterans Affairs Greater Los Angeles Healthcare System, Los Angeles, CA, USA;3. Department of Psychiatry and Biobehavioral Sciences, David Geffen School of Medicine, University of California, Los Angeles, Los Angeles, CA, USA;4. Department of Psychiatry and Behavioral Neurobiology, University of Alabama at Birmingham, Birmingham, AL, USA;5. VeraSci, Durham, Durham, NC, USA |
| Abstract: | We use Melnikov's analysis to construct recurrence time maps near homoclinic and heteroclinic bifurcations. We show that a method developed by Kawasaki and Ohta in order to study defects dynamics is indeed equivalent to this version of Melnikov's theory. |
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